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B\"acklund transformations in 2D dilaton gravity

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arxiv hep-th/9807003 v1 pith:Q4AS7E7R submitted 1998-07-01 hep-th gr-qc

classification hep-thgr-qc
keywords transformationacklunddilatongravitytheorycanonicalconnectingcovariant
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We give a B\"acklund transformation connecting a generic 2D dilaton gravity theory to a generally covariant free field theory. This transformation provides an explicit canonical transformation relating both theories.

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    In AdS3, a relaxed class of boundary conditions makes Einstein's equations reduce to two AKNS integrable hierarchies, and stationary black holes in this class have constant temperatures fixed by hyperelliptic spectra,...

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